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Lecture 34—Grand canonical ensemble Chapter 9, Monday April 7 th

Lecture 34—Grand canonical ensemble Chapter 9, Monday April 7 th. The Grand canonical ensemble The grand potential Some examples Quiz. Reading: All of chapter 9 (pages 188 - 207) Homework 9 due Wed. Apr. 9th at 5pm Assigned problems, Ch. 9 : 2, 4, 6, 8, 10

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Lecture 34—Grand canonical ensemble Chapter 9, Monday April 7 th

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  1. Lecture 34—Grand canonical ensemble Chapter 9, Monday April 7th • The Grand canonical ensemble • The grand potential • Some examples • Quiz Reading: All of chapter 9 (pages 188 - 207) Homework 9 due Wed. Apr. 9th at 5pm Assigned problems, Ch. 9: 2, 4, 6, 8, 10 Exam 3 next Friday (18th), Chs 8-10 Review next week (time/place TBA)

  2. Microcanonical ensemble E, V and N fixed S = kB lnW(E,V,N) Canonical ensemble T, V and N fixed F = -kBT lnZ(T,V,N) Grand canonical ensemble T, V and m fixed F = -kBT ln (T,V,m)

  3. Grand canonical ensemble Grand partition function:

  4. Grand canonical ensemble Grand potential:

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